What is the Greatest Common Factor of 23312 and 23328?

Greatest common factor (GCF) of 23312 and 23328 is 16.

GCF(23312,23328) = 16

We will now calculate the prime factors of 23312 and 23328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23312 and 23328.

How to find the GCF of 23312 and 23328?

We will first find the prime factorization of 23312 and 23328. After we will calculate the factors of 23312 and 23328 and find the biggest common factor number .

Step-1: Prime Factorization of 23312

Prime factors of 23312 are 2, 31, 47. Prime factorization of 23312 in exponential form is:

23312 = 2⁴ × 31¹ × 47¹

Step-2: Prime Factorization of 23328

Prime factors of 23328 are 2, 3. Prime factorization of 23328 in exponential form is:

23328 = 2⁵ × 3⁶

Step-3: Factors of 23312

List of positive integer factors of 23312 that divides 23312 without a remainder.

1, 2, 4, 8, 16, 31, 47, 62, 94, 124, 188, 248, 376, 496, 752, 1457, 2914, 5828, 11656

Step-4: Factors of 23328

List of positive integer factors of 23328 that divides 23312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 729, 864, 972, 1296, 1458, 1944, 2592, 2916, 3888, 5832, 7776, 11664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23312 and 23328. The biggest common factor number is the GCF number.
So the greatest common factor 23312 and 23328 is 16.

Also check out the Least Common Multiple of 23312 and 23328